Question

Find the slope of the line that passes through (5, 5) and (1, 0),

Answer 1

Answer:

Slope is 5/4.

Step-by-step explanation:

The slope of two points can be expressed as $\displaystyle \large{m=\frac{y_2-y_1}{x_2-x_1}$ where m represents the slope,

Let (5,5) be (x1,y1) and (1,0) be (x2,y2). Thus:

$\displaystyle \large{m=\frac{0-5}{1-5}=\frac{-5}{-4}=\frac{5}{4}}$

You can also consider both points other way around. We can let (1,0) be (x1,y1) and (5,5) be (x2,y2) and therefore:

$\displaystyle \large{m=\frac{5-0}{5-1}=\frac{5}{4}}$

Therefore, the slope is 5/4.